Results 11 to 20 of about 17,646,145 (276)
Polynomial and rational first integrals for planar homogeneous polynomial differential systems [PDF]
Publicacions Matemàtiques, 2014 In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
Giné, Jaume, Grau, Maite, Llibre, Jaume
openaire +8 more sources
Polynomial and rational first integrals for planarquasi--homogeneous polynomial differential systems [PDF]
Discrete and Continuous Dynamical Systems, 2013 The first and second authors are partially supported by a MICINN/ FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat de Catalunya) grant number 2009SGR 381. The third author is partially supported by a MICINN/ FEDER grant number MTM2008-03437, by a AGAUR grant number 2009SGR 410, by ICREA Academia and by FP7-PEOPLE-2012-IRSES- 316338 and ...
Giné, Jaume +2 more
openaire +4 more sources
Periodic solutions for certain systems of planar complex polynomial equations [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2001 The author deals with the existence of T-periodic solutions to the T-periodic system of complex planar equations \(u'=p_{1}(t,u,v)\), \(v'=p_{2}(t,u,v),\) where \(p_{1}\) and \(p_{2}\) are second-order polynomial whose coefficients are T-periodic continuous functions from \(\mathcal C\).
TADDEI, Valentina, Taddei, V
openaire +4 more sources
Exploiting planarity in separation routines for the symmetric traveling salesman problem [PDF]
, 2008 At present, the most successful approach for solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut.
Adam N. Letchford +5 more
core +5 more sources
Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$ [PDF]
Rocky Mountain Journal of Mathematics, 2016 We classify all of the weight-homogeneous planar polynomial differential systems of weight degree 4 having a polynomial first integral.
Llibre, Jaume, Valls, Claudia
openaire +5 more sources
Good triangulations yield good tours [PDF]
, 2008 Consider the following heuristic for planar Euclidean instances of the Traveling Salesman Problem (TSP): select a subset of the edges which induces a planar graph, and solve either the TSP or its graphical relaxation on that graph. In this paper, we give
Pearson, N, Letchford, A N
core +5 more sources
k-L(2, 1)-labelling for planar graphs is NP-complete for k>=4 [PDF]
, 2009 A mapping from the vertex set of a graph G=(V,E) into an interval of integers {0,...,k} is an L(2,1)-labelling of G of span k if any two adjacent vertices are mapped onto integers that are at least 2 apart, and every two vertices with a common ...
Havet, F, Eggemann, N, Noble, S D
core +7 more sources
Deciding reachability for planar multi-polynomial systems [PDF]
, 1996 In this paper we investigate the decidability of the reachability problem for planar non-linear hybrid systems. A planar hybrid system has the property that its state space corresponds to the standard Euclidean plane, which is partitioned into a finite number of (polyhedral) regions.
Karlis Cerans, Juris Viksna
openaire +2 more sources
Commuting planar polynomial vector fields for conservative newton systems [PDF]
ACM Communications in Computer Algebra, 2019 We study the problem of characterizing polynomial vector fields that commute with a given polynomial vector field on a plane. It is a classical result that one can write down solution formulas for an ODE that corresponds to a planar vector field that possesses a linearly independent (transversal) commuting vector field (see Theorem 2.1 ...
Joel Nagloo +2 more
openaire +3 more sources
Applied Sciences, 2021 Phase measuring deflectometry (PMD) is a competitive method for specular surface measurement that offers the advantages of a high dynamic range, non-contact process, and full field measurement; furthermore, it can also achieve high accuracy.
Renhao Ge +6 more
doaj +1 more source